Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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Consider a $10,000,000 1-year quarterly-pay swap with a fixed rate of 4.5% and a floating rate of 90-day London
Interbank Offered Rate (LIBOR) plus 150 basis points. 90-day LIBOR is currently 3% and the current forward rates
for the next four quarters are 3.2%, 3.6%, 3.8%, and 4%. If these rates are actually realized, at the second quarterly
settlement date, the fixed-rate payer in the swap will:
a. receive a payment of $5,000
b. receive a payment of $5,000
c. receive a payment of $7,500
d. neither make nor receive a payment
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- A plain vanilla 2-year interest rate swap with annual payments has a notional principal of $1 million. 5 month(s) into the swap, the term structure of interest rates is flat at 4.70%. The first floating-rate payment has already been set to 5.00%. The fixed payments are 5.29%. What is the value of this swap? Please show steps Answer: -8310arrow_forwardA $30,000,000 interest rate swap has a 12-month maturity, and was entered 2 months ago. This means the swap has a remaining life of 10 months. The swap pays interest quarterly, and it stipulates that the fixed rate is 4.5%, while the floating rate is the 3-month LIBOR +1%. Two months ago, when the swap was entered, 3-month LIBOR was 2.9%. The 3-month LIBOR forward rates and continuous time zero-coupon prices are given in a table below. Use the zero coupon prices to discount cash-flows. 3-month LIBOR Forward Rates Term rate 1x4 2.90% 2x5 2.85% 3x6 2.84% 4x7 2.88% 5x8 2.90% 6x9 2.91% 7x10 2.92% 8x11 2.92% 9x12 2.92% Zero-Coupon prices T (month) Price 1 0.9976 2 0.9953 3 0.9929 4 0.9904 5 0.988 6 0.9856 7 0.9831 8 0.9807 9 0.9783 10 0.9761 11 0.9737 12 0.9712 (Important hint: since the swap was entered 2 months ago, and makes quarterly payments, in the remaining 10 months, payments should be expected in 1 month, 4 months, 7 months and 10 months. Discount cash flows accordingly.)…arrow_forward5. Suppose you have a 2.5-year remaining on an interest rate swap with a notional principal of $10,000, 000 between Company A and Company B. Company A pays fixed rate and Company B pays the float rate. Fixed and float payments are exchanged every year and the last payment was exchanged 6 months ago. The fixed rate is 3.5% per annum, and the floating rate is tied to the annual LIBOR. The previous 1-year LIBOR rate, set 6 months ago, is 2.75%, 6 month LIBOR is 3.25%. the 1.5-year LIBOR is 3.25%, and the 2.5-year LIBOR is 3.50%. Calculate the present value of the fixed and floating legs of the swap, and determine the swap's net present value from Company A's perspective. Assume annual compounding for discounting.arrow_forward
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